Probability on trees and networks:
Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transitio...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York
Cambridge University Press
2016
|
| Series: | Cambridge series on statistical and probabilistic mathematics
42 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBM01 UPA01 Volltext |
| Summary: | Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks. Written by two leading researchers, the text emphasizes intuition, while giving complete proofs and more than 850 exercises. Many recent developments, in which the authors have played a leading role, are discussed, including percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding in Hilbert space. This state-of-the-art account of probability on networks will be indispensable for graduate students and researchers alike |
| Item Description: | Title from publisher's bibliographic system (viewed on 31 Jan 2017) |
| Physical Description: | 1 online resource (xv, 698 pages) |
| ISBN: | 9781316672815 |
| DOI: | 10.1017/9781316672815 |
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| id | DE-604.BV044040273 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:41:55Z |
| institution | BVB |
| isbn | 9781316672815 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029447336 |
| oclc_num | 973564187 |
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| physical | 1 online resource (xv, 698 pages) |
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| publishDate | 2016 |
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| spelling | Lyons, Russell Verfasser (DE-588)1130806618 aut Probability on trees and networks Russell Lyons, Indiana University, Bloomington, Yuval Peres, Microsoft Research, Redmond, Washington New York Cambridge University Press 2016 1 online resource (xv, 698 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge series on statistical and probabilistic mathematics 42 Title from publisher's bibliographic system (viewed on 31 Jan 2017) Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks. Written by two leading researchers, the text emphasizes intuition, while giving complete proofs and more than 850 exercises. Many recent developments, in which the authors have played a leading role, are discussed, including percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding in Hilbert space. This state-of-the-art account of probability on networks will be indispensable for graduate students and researchers alike Stochastic processes Trees (Graph theory) Peres, Yuval Verfasser (DE-588)121404420 aut Erscheint auch als Druckausgabe 978-1-107-16015-6 https://doi.org/10.1017/9781316672815 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Lyons, Russell Peres, Yuval Probability on trees and networks Stochastic processes Trees (Graph theory) |
| title | Probability on trees and networks |
| title_auth | Probability on trees and networks |
| title_exact_search | Probability on trees and networks |
| title_full | Probability on trees and networks Russell Lyons, Indiana University, Bloomington, Yuval Peres, Microsoft Research, Redmond, Washington |
| title_fullStr | Probability on trees and networks Russell Lyons, Indiana University, Bloomington, Yuval Peres, Microsoft Research, Redmond, Washington |
| title_full_unstemmed | Probability on trees and networks Russell Lyons, Indiana University, Bloomington, Yuval Peres, Microsoft Research, Redmond, Washington |
| title_short | Probability on trees and networks |
| title_sort | probability on trees and networks |
| topic | Stochastic processes Trees (Graph theory) |
| topic_facet | Stochastic processes Trees (Graph theory) |
| url | https://doi.org/10.1017/9781316672815 |
| work_keys_str_mv | AT lyonsrussell probabilityontreesandnetworks AT peresyuval probabilityontreesandnetworks |